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Finding the Third Proportional to 7,782,452 and 12,432,516

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Solution

The third proportional to 7,782,452 and 12,432,516 is: 19,861,022.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,782,452 : 12,432,516 = 12,432,516 : x
  2. Step 2: Convert to fraction form
    7,782,452/12,432,516 = 12,432,516/x
  3. Step 3: Cross multiply
    7,782,452x = 12,432,516 × 12,432,516
  4. Step 4: Simplify right side
    7,782,452x = 154,567,454,090,256
  5. Step 5: Solve for x
    x = 154,567,454,090,256/7,782,452
  6. Step 6: Final answer
    x = 19,861,022.48

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.